GCF of 7292/809, 4491/6655
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7292/809, 4491/6655 i.e 1/5383895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7292/809, 4491/6655.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7292/809,4491/6655?
Given fractions are 7292/809,4491/6655
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7292/809,4491/6655, numerators are 7292,4491
Denominators are 809,6655
The GCF of 7292,4491 is 1 .
LCM of 809,6655 is 5383895.
The greatest common factor of 7292/809,4491/6655 = [GCF of 7292,4491]/[LCM of 809,6655]= 1/5383895
Therefore, the GCF of 7292/809,4491/6655 is 1/5383895.
To find the highest common factor of 7292,4491, we have to find the factors of both numbers and list the highest common factor.
The factors of 7292 are 1, 2, 4, 1823, 3646, 7292
The factors of 4491 are 1, 3, 9, 499, 1497, 4491
The HCF of 7292,4491 is 1.
Lets's calculate GCF of 7292,4491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7292,4491 By Matching Biggest Common Factor Method
Now, list down the factors of 7292
:1,2,4,1823,3646,7292
Now, list down the factors of 4491
:1,3,9,499,1497,4491
Greatest Common Factor
We found the factors 7292,4491 . The biggest common factor number is the GCF number.
So the greatest common factor 7292,4491 is 1.
Lets's calculate LCM of 809,6655
Given numbers has no common factors except 1. So, there LCM is their product i.e 5383895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5383895
Therefore, the GCF of Fractions 7292/809,4491/6655 is 1/5383895
Least Common Multiple of 809,6655 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 809,6655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,6655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,6655) x common factors =1 x 1 = 1
LCM(809,6655) = ( 809 × 6655 ) / 1
LCM(809,6655) = 5383895 / 1
LCM(809,6655) = 5383895
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FAQs on GCF of Fractions of 7292/809, 4491/6655
1. What is the HCF of 7292,4491?
The HCF of 7292,4491 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7292/809, 4491/6655?
Answer: GCF of Numerators as per given numbers 7292/809, 4491/6655 is
GCF of Numerators i.e. for 7292,4491 is 1
LCM of denominators i.e. for 809,6655 is 5383895.
Thus, GCF of Fractions is 1/5383895.Finally, GCF of Fractions for 7292/809, 4491/6655 is 1/5383895.